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Homework 9

# Homework 9 - vu(tv2894 Homework 9(Quest miner(55096 This...

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vu (tv2894) – Homework 9 (Quest) – miner – (55096) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the value of f (0) when f ( x ) = (1 - 3 x ) 2 . Correct answer: 6. Explanation: Using the chain rule and the fact that ( x α ) = α x α 1 , we obtain f ( x ) = 6 (1 - 3 x ) 3 . At x = 0, therefore, f (0) = 6 . 002 10.0 points Find the derivative of f when f ( x ) = parenleftBig x 9 / 2 - 4 x 9 / 2 parenrightBig 2 . 1. f ( x ) = 9 parenleftbigg x 18 - 16 x 10 parenrightbigg correct 2. f ( x ) = 9 parenleftbigg x 18 - 4 x 9 parenrightbigg 3. f ( x ) = 10 parenleftbigg 1 + 4 x 18 x 9 parenrightbigg 4. f ( x ) = 10 parenleftbigg 1 - 4 x 18 x 9 parenrightbigg 5. f ( x ) = 10 parenleftbigg x 18 + 16 x 10 parenrightbigg 6. f ( x ) = 9 parenleftbigg x 9 + 4 x 9 parenrightbigg Explanation: After expansion, parenleftBig x 9 / 2 - 4 x 9 / 2 parenrightBig 2 = x 9 - 8 + 16 x 9 Thus f ( x ) = 9 x 8 - 144 x 10 = 9 x 8 - 144 x 10 .

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Homework 9 - vu(tv2894 Homework 9(Quest miner(55096 This...

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